2 papers
math.DG2026
Pairs of differential forms: a framework for precontact geometry
Xavier Gràcia, Àngel Martínez-Muñoz, Xavier Rivas
Precontact manifolds extend contact geometry by weakening the maximal non-integrability condition of the defining -form. We clarify the geometric foundations of this structure b…
math-ph2025
The evolution operator connecting the Lagrangian and Hamiltonian formalisms for contact systems
Xavier Gràcia, Ángel Martínez-Muñoz, Xavier Rivas +1
Some mechanical systems with dissipation can be described within the framework of the so-called contact mechanics: a modified form of the Euler-Lagrange equations stemming from Her…